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Journal of Geographical Systems

, Volume 6, Issue 4, pp 381–402 | Cite as

A general framework for error analysis in measurement-based GIS Part 3: Error analysis in intersections and overlays

  • Yee Leung
  • Jiang-Hong Ma
  • Michael F. Goodchild
Article

Abstract.

This is the third of a four-part series on the development of a general framework for error analysis in measurement-based geographic information systems (MBGIS). In this paper, we study the characteristics of error structures in intersections and polygon overlays. When locations of the endpoints of two line segments are in error, we analyze errors of the intersection point and obtain its error covariance matrix through the propagation of the error covariance matrices of the endpoints. An approximate law of error propagation for the intersection point is formulated within the MBGIS framework. From simulation experiments, it appears that both the relative positioning of two line segments and the error characteristics of the endpoints can affect the error characteristics of the intersection. Nevertheless, the approximate law of error propagation captures nicely the error characteristics under various situations. Based on the derived results, error analysis in polygon-on-polygon overlay operation is also performed. The relationship between the error covariance matrices of the original polygons and the overlaid polygons is approximately established.

Key words

Error analysis line-in-polygon overlay polygon-on-polygon overlay intersection point approximate law of error propagation 

JEL Classification

C10 C31 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Yee Leung
    • 1
  • Jiang-Hong Ma
    • 2
  • Michael F. Goodchild
    • 3
  1. 1.Department of Geography and Resource Management, Center for Environmental Policy and Resource Management, and Joint Laboratory for Geoinformation ScienceThe Chinese University of Hong KongHong Kong
  2. 2.Department of Mathematics and Information ScienceChang’an University, Xi’anP.R. China
  3. 3.Department of GeographyUniversity of CaliforniaSanta BarbaraU.S.A

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